Nationality United States Role Mathematician Fields Mathematician | Name Andreas Blass | |

Known for set theory, mathematical logic, theoretical computer science. Residence Ann Arbor, Michigan, United States Books Freyd's models for the independence of the axiom of choice Education Harvard University, University of Detroit Mercy | ||

Doctoral advisor Frank Wattenberg Notable students R. Michael Canjar Institutions University of Michigan |

## Braid Groups, Hecke Algebras, Representations, and Anyons

**Andreas Raphael Blass** (born October 27, 1947 in Nuremberg) is a mathematician, currently a professor at the University of Michigan. He specializes in mathematical logic, particularly set theory, and theoretical computer science.

## Contents

Blass graduated from the University of Detroit, where he was a Putnam Fellow, in 1966 with a B.S. in physics. He received his Ph.D. in 1970 from Harvard University, with a thesis on *Orderings of Ultrafilters* written under the supervision of Frank Wattenberg. Since 1970 he has been employed by the University of Michigan, first as a *T.H. Hildebrandt Research Instructor* (1970–72), then assistant professor (1972–76), associate professor (1976–84) and since 1984 he has been a full professor there.

In 2014, he became a Fellow of the American Mathematical Society.

## Selected publications and results

In 1984 Blass proved that the existence of a basis for every vector space is equivalent to the Axiom of Choice. He made important contributions in the development of the set theory of the reals and forcing.

Blass was the first to point out connections between game semantics and linear logic.

He has authored more than 200 research articles in mathematical logic and theoretical computer science, including:

*Axiomatic set theory, Proc. AMS-IMS-SIAM Jt. Summer Res. Conf., Boulder/Colo. 1983, Contemp. Math. 31*. pp. 31–34.

*Annals of Pure and Applied Logic*.

**33**: 213–243. doi:10.1016/0168-0072(87)90082-0.

*Annals of Pure and Applied Logic*.

**56**: 183–220. doi:10.1016/0168-0072(92)90073-9.

*Bull. Eur. Assoc. Theor. Comput. Sci. EATCS*.

**81**: 195–225. Retrieved 2008-04-28.